Introduction to Infinity-Categories by Markus Land (English) Paperback Book

Description: Introduction to Infinity-Categories by Markus Land This textbook is an introduction to the theory of infinity-categories, a tool used in many aspects of modern pure mathematics. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description This textbook is an introduction to the theory of infinity-categories, a tool used in many aspects of modern pure mathematics. It treats the basics of the theory and supplies all the necessary details while leading the reader along a streamlined path from the basic definitions to more advanced results such as the very important adjoint functor theorems. The book is based on lectures given by the author on the topic. While the material itself is well-known to experts, the presentation of the material is, in parts, novel and accessible to non-experts. Exercises complement this textbook that can be used both in a classroom setting at the graduate level and as an introductory text for the interested reader. Back Cover This textbook is an introduction to the theory of infinity-categories, a tool used in many aspects of modern pure mathematics. It treats the basics of the theory and supplies all the necessary details while leading the reader along a streamlined path from the basic definitions to more advanced results such as the very important adjoint functor theorems. The book is based on lectures given by the author on the topic. While the material itself is well-known to experts, the presentation of the material is, in parts, novel and accessible to non-experts. Exercises complement this textbook that can be used both in a classroom setting at the graduate level and as an introductory text for the interested reader. Author Biography Markus Land is a lecturer at the University of Regensburg and a guest researcher at the University of Copenhagen in the academic year 2019/2020. Table of Contents Preface.- Categories, simplicial sets, and in nity-categories.- Joyals theorem, applications, and Dwyer-Kan localizations.- (Co)Cartesian brations and the construction of functors.- Limits and Colimits.- Adjunctions and adjoint functor theorems.- Exercises. Review "This book is a concise and rather comprehensive introduction to the theory of ∞-categories, aimed at a wide audience. … The material developed in this book mostly originates from the work of Joyal and Lurie. It is presented here in a fresh, streamlined, and accessible way. The length and style of this book make it ideally suited for a lecture course or seminar on ∞-categories. … Finally, a nice collection of exercises is included as an appendix." (Gijs Heuts, Mathematical Reviews, July, 2022) Feature Presents a high-level topic in an accessible style Includes exercises Leads the reader from the theory basics to more advanced results Details ISBN3030615235 Author Markus Land Language English Year 2021 ISBN-10 3030615235 ISBN-13 9783030615239 Format Paperback DOI 10.1007/978-3-030-61524-6 Pages 296 Edition 1st Place of Publication Cham Country of Publication Switzerland Publication Date 2021-04-22 UK Release Date 2021-04-22 Illustrations 1 Illustrations, color; 389 Illustrations, black and white; IX, 296 p. 390 illus., 1 illus. in color. Publisher Springer Nature Switzerland AG Edition Description 1st ed. 2021 Series Compact Textbooks in Mathematics Imprint Springer Nature Switzerland AG DEWEY 512.62 Audience Undergraduate We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:134122719;

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